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Finding the Fourth Proportional to 15,784.47, 21,781.91 and 8,710.74

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Solution

The fourth proportional to 15,784.47, 21,781.91 and 8,710.74 is: 12,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.47 : 21,781.91 = 8,710.74 : x
  2. Step 2: Convert to fraction form
    15,784.47/21,781.91 = 8,710.74/x
  3. Step 3: Cross multiply
    15,784.47x = 21,781.91 × 8,710.74
  4. Step 4: Simplify right side
    15,784.47x = 189,736,576.49
  5. Step 5: Solve for x
    x = 189,736,576.49/15,784.47
  6. Step 6: Final answer
    x = 12,020.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.